Rockfish Historical Harvest Estimates

This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.

Issue	Howard	Bayes
Time series	1999 - present	1977 - present
Bias in SWHS	Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests.	Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases	Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data.	Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations	Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas.	Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation	Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with.	By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Results

• Model: LB_fit_3pH

• Model Run: Gen4int_indcomp_swhsR_FULL_pHB4pars_re0d_thru2024_1e+05_2025-10-20 (Naming convention: modelname_thruYEAR_iters_rundate)

• Proportion of parmaters converged (Rhat <= 1.1): 0.9816

• See end of document for summary of unconverged parameters.

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

And black rockfish releases…

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Model fit

Logbook residuals

Figure 18.- Residuals from logbook harvests.

SWHS residuals

Figure 19.- Residuals from SWHS harvests.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

Figure 21.- Mean percent of harvest by charter anglers.

When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(slope|non-pelagic & non-yellowye) For release estimates

## NULL

Weight Fits

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3648208

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.18 while 0.82 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable	area_n	year	user	mean	median	lower	upper	Rhat	sd	skew	area
p_pelagic	10	26	1	0.903	0.905	0.852	0.947	1.014	0.025	-0.080	northeast
p_pelagic	11	1	1	0.485	0.485	0.247	0.734	1.013	0.127	0.000	CSEO
p_pelagic	11	1	2	0.410	0.403	0.189	0.667	1.018	0.124	0.056	CSEO
p_pelagic	11	10	2	0.409	0.403	0.187	0.664	1.018	0.124	0.048	CSEO
p_yellow	11	10	2	0.729	0.747	0.454	0.912	1.010	0.121	-0.148	CSEO
p_pelagic	11	11	1	0.484	0.480	0.249	0.736	1.024	0.128	0.031	CSEO
p_yellow	11	12	1	0.866	0.883	0.670	0.963	1.011	0.076	-0.224	CSEO
p_pelagic	11	13	1	0.484	0.482	0.244	0.735	1.012	0.129	0.016	CSEO
p_pelagic	11	13	2	0.409	0.402	0.191	0.659	1.012	0.120	0.058	CSEO
p_pelagic	11	14	1	0.485	0.485	0.247	0.727	1.013	0.125	0.000	CSEO
p_pelagic	11	14	2	0.412	0.408	0.193	0.666	1.013	0.123	0.033	CSEO
p_yellow	11	14	1	0.867	0.881	0.688	0.963	1.016	0.074	-0.190	CSEO
p_pelagic	11	15	2	0.410	0.402	0.185	0.664	1.012	0.126	0.064	CSEO
p_pelagic	11	16	1	0.484	0.482	0.247	0.738	1.014	0.127	0.016	CSEO
p_pelagic	11	16	2	0.409	0.402	0.187	0.664	1.011	0.123	0.057	CSEO
p_pelagic	11	17	1	0.486	0.488	0.249	0.730	1.012	0.127	-0.016	CSEO
p_pelagic	11	18	1	0.484	0.483	0.245	0.725	1.014	0.126	0.008	CSEO
p_yellow	11	18	2	0.733	0.749	0.457	0.919	1.011	0.121	-0.132	CSEO
p_pelagic	11	19	2	0.410	0.404	0.191	0.661	1.017	0.120	0.050	CSEO
p_pelagic	11	2	1	0.481	0.479	0.249	0.732	1.014	0.128	0.016	CSEO
p_pelagic	11	20	1	0.483	0.481	0.250	0.724	1.012	0.126	0.016	CSEO
p_yellow	11	20	1	0.866	0.883	0.674	0.964	1.010	0.075	-0.226	CSEO
p_pelagic	11	21	2	0.407	0.401	0.189	0.662	1.010	0.122	0.049	CSEO
p_pelagic	11	3	1	0.484	0.485	0.247	0.729	1.011	0.126	-0.008	CSEO
p_pelagic	11	3	2	0.411	0.405	0.191	0.650	1.017	0.122	0.049	CSEO
p_pelagic	11	4	1	0.481	0.480	0.244	0.725	1.015	0.127	0.008	CSEO
p_pelagic	11	4	2	0.409	0.405	0.193	0.666	1.011	0.122	0.033	CSEO
p_yellow	11	4	2	0.728	0.747	0.452	0.913	1.013	0.121	-0.157	CSEO
p_pelagic	11	5	1	0.485	0.483	0.240	0.726	1.015	0.127	0.016	CSEO
p_pelagic	11	5	2	0.410	0.408	0.186	0.655	1.012	0.123	0.016	CSEO
p_pelagic	11	6	1	0.486	0.487	0.251	0.728	1.014	0.127	-0.008	CSEO
p_pelagic	11	6	2	0.409	0.400	0.197	0.656	1.020	0.123	0.073	CSEO
p_pelagic	11	7	1	0.482	0.478	0.242	0.734	1.015	0.127	0.032	CSEO
p_pelagic	11	8	1	0.479	0.478	0.240	0.722	1.012	0.128	0.008	CSEO
p_pelagic	11	8	2	0.411	0.405	0.191	0.672	1.013	0.126	0.048	CSEO
p_pelagic	11	9	1	0.483	0.480	0.251	0.738	1.029	0.127	0.024	CSEO
p_pelagic	11	9	2	0.411	0.407	0.184	0.677	1.014	0.126	0.032	CSEO
p_yellow	12	1	2	0.127	0.104	0.032	0.358	1.026	0.095	0.241	EWYKT
p_yellow	12	10	2	0.130	0.104	0.029	0.377	1.014	0.101	0.259	EWYKT
p_yellow	12	11	2	0.127	0.104	0.030	0.352	1.023	0.096	0.241	EWYKT
p_yellow	12	12	2	0.129	0.106	0.031	0.365	1.032	0.100	0.230	EWYKT
p_yellow	12	13	2	0.128	0.105	0.031	0.358	1.027	0.098	0.235	EWYKT
p_yellow	12	14	2	0.129	0.106	0.030	0.345	1.021	0.096	0.240	EWYKT
p_yellow	12	15	2	0.130	0.107	0.031	0.362	1.027	0.099	0.232	EWYKT
p_yellow	12	16	2	0.130	0.106	0.032	0.361	1.025	0.099	0.242	EWYKT
p_yellow	12	17	2	0.128	0.106	0.030	0.339	1.019	0.095	0.230	EWYKT
p_yellow	12	18	2	0.128	0.104	0.031	0.352	1.018	0.097	0.247	EWYKT
p_yellow	12	19	2	0.129	0.104	0.031	0.375	1.021	0.100	0.250	EWYKT
p_yellow	12	2	2	0.130	0.104	0.030	0.368	1.023	0.100	0.260	EWYKT
p_yellow	12	20	2	0.129	0.106	0.030	0.364	1.015	0.099	0.233	EWYKT
p_yellow	12	21	2	0.128	0.105	0.031	0.352	1.019	0.096	0.241	EWYKT
p_yellow	12	22	2	0.130	0.106	0.032	0.355	1.023	0.099	0.242	EWYKT
p_yellow	12	23	2	0.130	0.104	0.030	0.380	1.021	0.102	0.255	EWYKT
p_yellow	12	24	2	0.132	0.106	0.030	0.387	1.015	0.101	0.258	EWYKT
p_yellow	12	25	2	0.132	0.108	0.031	0.383	1.023	0.102	0.235	EWYKT
p_yellow	12	26	2	0.133	0.108	0.030	0.364	1.021	0.100	0.251	EWYKT
p_yellow	12	27	2	0.133	0.109	0.032	0.362	1.020	0.102	0.236	EWYKT
p_yellow	12	28	2	0.132	0.107	0.030	0.360	1.016	0.098	0.254	EWYKT
p_yellow	12	3	2	0.129	0.106	0.029	0.349	1.014	0.098	0.235	EWYKT
p_yellow	12	4	2	0.128	0.104	0.029	0.351	1.031	0.100	0.241	EWYKT
p_yellow	12	5	2	0.128	0.103	0.030	0.354	1.017	0.099	0.251	EWYKT
p_yellow	12	6	2	0.126	0.103	0.031	0.356	1.015	0.097	0.238	EWYKT
p_yellow	12	7	2	0.131	0.106	0.029	0.362	1.032	0.101	0.247	EWYKT
p_yellow	12	8	2	0.127	0.101	0.030	0.360	1.021	0.101	0.259	EWYKT
p_yellow	12	9	2	0.130	0.106	0.030	0.357	1.024	0.100	0.241	EWYKT
p_pelagic	13	1	1	0.484	0.483	0.230	0.741	1.114	0.134	0.007	NSEI
p_pelagic	13	1	2	0.241	0.227	0.084	0.478	1.084	0.104	0.135	NSEI
p_pelagic	13	10	1	0.491	0.490	0.230	0.746	1.067	0.135	0.007	NSEI
p_pelagic	13	10	2	0.245	0.230	0.088	0.468	1.077	0.103	0.146	NSEI
p_pelagic	13	11	1	0.495	0.492	0.238	0.758	1.075	0.136	0.022	NSEI
p_pelagic	13	11	2	0.241	0.226	0.089	0.480	1.085	0.101	0.149	NSEI
p_pelagic	13	12	1	0.497	0.498	0.236	0.749	1.086	0.133	-0.008	NSEI
p_pelagic	13	12	2	0.245	0.232	0.089	0.480	1.081	0.102	0.128	NSEI
p_pelagic	13	13	1	0.494	0.489	0.254	0.746	1.077	0.130	0.038	NSEI
p_pelagic	13	13	2	0.244	0.228	0.089	0.482	1.088	0.102	0.157	NSEI
p_pelagic	13	14	1	0.498	0.500	0.245	0.746	1.058	0.130	-0.015	NSEI
p_pelagic	13	14	2	0.244	0.230	0.086	0.477	1.103	0.101	0.138	NSEI
p_pelagic	13	15	1	0.500	0.501	0.249	0.747	1.085	0.131	-0.008	NSEI
p_pelagic	13	15	2	0.249	0.235	0.090	0.485	1.086	0.102	0.137	NSEI
p_pelagic	13	16	1	0.501	0.500	0.246	0.754	1.071	0.132	0.008	NSEI
p_pelagic	13	16	2	0.249	0.235	0.090	0.472	1.062	0.103	0.136	NSEI
p_pelagic	13	17	1	0.503	0.505	0.253	0.750	1.053	0.132	-0.015	NSEI
p_pelagic	13	17	2	0.248	0.236	0.093	0.468	1.073	0.100	0.121	NSEI
p_pelagic	13	18	1	0.503	0.500	0.247	0.753	1.047	0.131	0.023	NSEI
p_pelagic	13	18	2	0.250	0.237	0.091	0.477	1.061	0.100	0.130	NSEI
p_pelagic	13	19	1	0.504	0.506	0.258	0.750	1.050	0.130	-0.015	NSEI
p_pelagic	13	19	2	0.255	0.243	0.094	0.491	1.064	0.103	0.116	NSEI
p_pelagic	13	2	1	0.486	0.484	0.227	0.741	1.104	0.135	0.015	NSEI
p_pelagic	13	2	2	0.240	0.225	0.088	0.469	1.103	0.101	0.148	NSEI
p_pelagic	13	20	1	0.507	0.506	0.269	0.751	1.042	0.127	0.008	NSEI
p_pelagic	13	20	2	0.255	0.243	0.095	0.493	1.046	0.103	0.116	NSEI
p_pelagic	13	21	1	0.511	0.509	0.256	0.755	1.039	0.128	0.016	NSEI
p_pelagic	13	21	2	0.255	0.241	0.098	0.477	1.065	0.100	0.139	NSEI
p_pelagic	13	22	2	0.260	0.246	0.102	0.482	1.041	0.100	0.140	NSEI
p_pelagic	13	23	2	0.160	0.149	0.061	0.310	1.017	0.065	0.169	NSEI
p_pelagic	13	25	2	0.149	0.139	0.058	0.287	1.010	0.060	0.167	NSEI
p_pelagic	13	3	1	0.486	0.487	0.231	0.745	1.097	0.136	-0.007	NSEI
p_pelagic	13	3	2	0.242	0.227	0.084	0.477	1.102	0.103	0.145	NSEI
p_pelagic	13	4	1	0.492	0.493	0.233	0.751	1.105	0.135	-0.007	NSEI
p_pelagic	13	4	2	0.242	0.227	0.081	0.484	1.108	0.103	0.146	NSEI
p_pelagic	13	5	1	0.487	0.487	0.231	0.743	1.089	0.133	0.000	NSEI
p_pelagic	13	5	2	0.243	0.230	0.085	0.465	1.098	0.100	0.131	NSEI
p_pelagic	13	6	1	0.490	0.489	0.240	0.748	1.082	0.134	0.007	NSEI
p_pelagic	13	6	2	0.244	0.229	0.087	0.489	1.088	0.103	0.145	NSEI
p_pelagic	13	7	1	0.494	0.493	0.233	0.746	1.078	0.134	0.007	NSEI
p_pelagic	13	7	2	0.245	0.233	0.089	0.474	1.113	0.101	0.118	NSEI
p_pelagic	13	8	1	0.490	0.489	0.247	0.743	1.076	0.132	0.008	NSEI
p_pelagic	13	8	2	0.243	0.229	0.087	0.483	1.107	0.102	0.137	NSEI
p_pelagic	13	9	1	0.495	0.497	0.244	0.739	1.073	0.132	-0.015	NSEI
p_pelagic	13	9	2	0.239	0.227	0.086	0.471	1.064	0.099	0.121	NSEI
p_yellow	14	1	1	0.908	0.922	0.750	0.985	1.011	0.064	-0.217	NSEO
p_yellow	14	19	2	0.924	0.940	0.765	0.989	1.012	0.059	-0.271	NSEO
p_yellow	14	22	1	0.906	0.922	0.732	0.985	1.010	0.066	-0.243	NSEO
p_yellow	14	4	1	0.907	0.923	0.732	0.984	1.010	0.065	-0.245	NSEO
p_dsr	14	44	1	0.089	0.065	0.012	0.326	1.073	0.079	0.304	NSEO
p_pelagic	14	45	1	0.939	0.939	0.931	0.950	1.014	0.005	0.000	NSEO
p_dsr	14	45	1	0.092	0.068	0.014	0.298	1.025	0.076	0.317	NSEO
p_yellow	14	9	2	0.924	0.939	0.769	0.989	1.011	0.058	-0.258	NSEO
p_pelagic	16	1	1	0.444	0.446	0.180	0.704	1.093	0.135	-0.015	SSEO
p_pelagic	16	1	2	0.420	0.420	0.159	0.695	1.089	0.137	0.000	SSEO
p_pelagic	16	10	1	0.452	0.448	0.200	0.717	1.065	0.135	0.030	SSEO
p_pelagic	16	10	2	0.422	0.418	0.175	0.695	1.053	0.135	0.030	SSEO
p_pelagic	16	11	1	0.450	0.449	0.187	0.715	1.073	0.137	0.007	SSEO
p_pelagic	16	11	2	0.425	0.418	0.180	0.685	1.071	0.134	0.052	SSEO
p_pelagic	16	12	1	0.453	0.454	0.189	0.705	1.064	0.135	-0.007	SSEO
p_pelagic	16	12	2	0.422	0.419	0.183	0.690	1.057	0.132	0.023	SSEO
p_pelagic	16	13	1	0.454	0.453	0.199	0.712	1.058	0.135	0.007	SSEO
p_pelagic	16	13	2	0.420	0.414	0.181	0.681	1.062	0.130	0.046	SSEO
p_pelagic	16	14	1	0.452	0.449	0.205	0.700	1.058	0.130	0.023	SSEO
p_pelagic	16	14	2	0.422	0.420	0.181	0.690	1.059	0.132	0.015	SSEO
p_pelagic	16	15	1	0.457	0.458	0.205	0.721	1.061	0.133	-0.008	SSEO
p_pelagic	16	15	2	0.422	0.418	0.179	0.689	1.054	0.133	0.030	SSEO
p_pelagic	16	16	1	0.455	0.460	0.208	0.714	1.048	0.131	-0.038	SSEO
p_pelagic	16	16	2	0.430	0.428	0.185	0.690	1.056	0.131	0.015	SSEO
p_pelagic	16	17	1	0.456	0.452	0.208	0.721	1.047	0.133	0.030	SSEO
p_pelagic	16	17	2	0.428	0.423	0.191	0.691	1.041	0.130	0.038	SSEO
p_pelagic	16	18	1	0.456	0.456	0.211	0.715	1.041	0.132	0.000	SSEO
p_pelagic	16	18	2	0.430	0.426	0.193	0.692	1.037	0.130	0.031	SSEO
p_pelagic	16	19	1	0.460	0.458	0.217	0.715	1.026	0.131	0.015	SSEO
p_pelagic	16	19	2	0.431	0.428	0.188	0.690	1.031	0.131	0.023	SSEO
p_pelagic	16	2	1	0.452	0.451	0.180	0.715	1.081	0.139	0.007	SSEO
p_pelagic	16	2	2	0.418	0.416	0.164	0.685	1.073	0.136	0.015	SSEO
p_pelagic	16	20	1	0.462	0.462	0.213	0.715	1.029	0.130	0.000	SSEO
p_pelagic	16	20	2	0.434	0.431	0.202	0.689	1.025	0.127	0.024	SSEO
p_pelagic	16	21	1	0.466	0.467	0.227	0.714	1.023	0.127	-0.008	SSEO
p_pelagic	16	21	2	0.438	0.435	0.200	0.696	1.034	0.130	0.023	SSEO
p_pelagic	16	22	2	0.446	0.444	0.217	0.694	1.028	0.128	0.016	SSEO
p_pelagic	16	23	2	0.331	0.319	0.142	0.582	1.015	0.116	0.104	SSEO
p_yellow	16	23	1	0.545	0.562	0.234	0.791	1.027	0.150	-0.114	SSEO
p_dsr	16	23	1	0.637	0.667	0.271	0.894	1.020	0.157	-0.191	SSEO
p_slope	16	26	1	0.202	0.168	0.020	0.453	1.067	0.141	0.241	SSEO
p_slope	16	28	1	0.152	0.136	0.017	0.360	1.014	0.099	0.162	SSEO
p_pelagic	16	3	1	0.450	0.452	0.179	0.716	1.090	0.136	-0.015	SSEO
p_pelagic	16	3	2	0.418	0.417	0.160	0.689	1.085	0.138	0.007	SSEO
p_pelagic	16	4	1	0.444	0.444	0.184	0.705	1.064	0.138	0.000	SSEO
p_pelagic	16	4	2	0.419	0.418	0.163	0.689	1.076	0.138	0.007	SSEO
p_pelagic	16	42	1	0.832	0.832	0.825	0.839	1.015	0.003	0.000	SSEO
p_dsr	16	42	1	0.478	0.485	0.406	0.515	1.585	0.028	-0.252	SSEO
p_slope	16	42	1	0.138	0.128	0.105	0.216	1.738	0.031	0.323	SSEO
p_dsr	16	44	1	0.077	0.073	0.030	0.151	1.013	0.031	0.129	SSEO
p_dsr	16	45	1	0.062	0.059	0.028	0.110	1.019	0.022	0.139	SSEO
p_pelagic	16	5	1	0.448	0.452	0.187	0.708	1.076	0.137	-0.029	SSEO
p_pelagic	16	5	2	0.419	0.415	0.164	0.679	1.073	0.135	0.030	SSEO
p_pelagic	16	6	1	0.448	0.447	0.193	0.697	1.080	0.133	0.008	SSEO
p_pelagic	16	6	2	0.416	0.410	0.165	0.682	1.094	0.136	0.044	SSEO
p_pelagic	16	7	1	0.445	0.444	0.175	0.708	1.071	0.137	0.007	SSEO
p_pelagic	16	7	2	0.420	0.418	0.165	0.690	1.069	0.137	0.015	SSEO
p_pelagic	16	8	1	0.450	0.447	0.186	0.712	1.065	0.137	0.022	SSEO
p_pelagic	16	8	2	0.419	0.420	0.167	0.682	1.088	0.134	-0.007	SSEO
p_pelagic	16	9	1	0.451	0.449	0.192	0.716	1.084	0.138	0.015	SSEO
p_pelagic	16	9	2	0.420	0.418	0.171	0.689	1.065	0.135	0.015	SSEO
p_pelagic	3	11	2	0.192	0.179	0.067	0.388	1.014	0.084	0.155	PWSI
p_pelagic	3	18	1	0.552	0.556	0.292	0.785	1.012	0.130	-0.031	PWSI
p_pelagic	3	18	2	0.194	0.181	0.065	0.395	1.013	0.086	0.151	PWSI
p_pelagic	3	5	2	0.194	0.180	0.067	0.397	1.011	0.087	0.161	PWSI
p_pelagic	3	8	1	0.553	0.555	0.293	0.796	1.010	0.132	-0.015	PWSI
p_pelagic	4	1	1	0.561	0.566	0.313	0.785	1.015	0.124	-0.040	PWSO
p_pelagic	4	12	1	0.560	0.563	0.309	0.794	1.014	0.127	-0.024	PWSO
p_pelagic	4	15	1	0.561	0.567	0.315	0.793	1.012	0.126	-0.048	PWSO
p_pelagic	4	17	1	0.560	0.565	0.308	0.788	1.011	0.126	-0.040	PWSO
p_pelagic	4	17	2	0.561	0.564	0.302	0.797	1.013	0.128	-0.023	PWSO
p_pelagic	4	19	2	0.558	0.561	0.304	0.795	1.011	0.128	-0.023	PWSO
p_yellow	4	29	2	0.692	0.699	0.519	0.840	1.010	0.083	-0.084	PWSO
p_yellow	4	30	2	0.764	0.783	0.505	0.924	1.025	0.110	-0.173	PWSO
p_yellow	4	31	2	0.807	0.822	0.585	0.942	1.020	0.093	-0.161	PWSO
p_yellow	4	32	2	0.852	0.863	0.692	0.950	1.014	0.067	-0.163	PWSO
p_pelagic	4	5	1	0.562	0.564	0.315	0.792	1.013	0.124	-0.016	PWSO
p_pelagic	4	6	1	0.563	0.568	0.306	0.793	1.011	0.126	-0.040	PWSO
p_pelagic	4	6	2	0.558	0.560	0.312	0.786	1.011	0.126	-0.016	PWSO
p_pelagic	4	7	1	0.563	0.566	0.320	0.788	1.015	0.124	-0.024	PWSO
p_pelagic	4	8	1	0.557	0.560	0.300	0.785	1.011	0.127	-0.024	PWSO
p_pelagic	4	8	2	0.561	0.569	0.307	0.792	1.014	0.126	-0.063	PWSO
p_black	8	40	1	0.489	0.416	0.339	0.963	1.420	0.192	0.380	afognak
p_black	8	48	1	0.525	0.492	0.411	0.964	1.050	0.130	0.255	afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable	area_n	year/species	mean	median	lower	upper	Rhat	sd	skew	year	area
mu_beta0_pH	1	1	0.304	0.442	-2.043	1.821	1.501	0.967	-0.143		CI
tau_beta0_pH	1	1	5.801	1.580	0.059	40.752	1.294	11.901	0.355		CI
mu_beta1_pH	1	1	3.713	3.350	1.453	8.638	1.389	1.872	0.194		CI
tau_beta1_pH	1	1	16.978	6.504	0.199	82.974	1.332	22.599	0.463		CI
beta0_pH	1	1	-0.724	0.142	-3.912	0.666	4.599	1.526	-0.567		CI
beta0_pH	1	3	0.924	1.100	-0.880	1.699	1.136	0.634	-0.277		CI
beta1_pH	1	1	5.332	3.760	2.227	11.197	5.137	3.047	0.516		CI
beta2_pH	1	1	0.380	0.284	0.066	1.239	1.726	0.339	0.283		CI
beta0_pH	10	1	-0.473	-0.487	-1.258	0.175	2.075	0.406	0.034		northeast
beta0_pH	10	3	2.070	2.084	1.776	2.259	1.212	0.116	-0.121		northeast
beta1_pH	10	1	2.948	2.995	2.026	3.872	1.982	0.518	-0.091		northeast
beta1_pH	10	3	0.047	0.000	0.000	0.430	1.658	0.122	0.386		northeast
beta2_pH	10	1	0.961	0.569	0.269	6.103	1.430	1.372	0.286		northeast
beta2_pH	10	3	2.477	3.261	-17.969	19.288	1.148	9.937	-0.079		northeast
beta3_pH	10	1	31.166	31.137	29.280	33.813	1.289	1.171	0.025		northeast
beta4_pH	10	4	1.748	0.433	0.019	9.170	1.185	12.697	0.104		northeast
beta0_pH	11	1	-0.176	-0.122	-1.433	1.195	2.140	0.753	-0.072		CSEO
beta0_pH	11	3	1.401	1.260	-0.640	2.897	2.787	1.079	0.131		CSEO
beta0_pH	11	4	1.432	1.460	-0.265	2.421	2.046	0.767	-0.037		CSEO
beta1_pH	11	1	3.111	3.321	0.829	5.201	3.270	1.364	-0.154		CSEO
beta1_pH	11	3	1.799	2.038	0.000	4.015	2.529	1.264	-0.189		CSEO
beta1_pH	11	4	1.381	1.382	0.002	3.363	1.508	0.967	-0.001		CSEO
beta2_pH	11	1	-0.646	0.272	-5.074	0.897	3.382	1.784	-0.515		CSEO
beta3_pH	11	1	34.581	31.102	29.081	42.986	13.885	5.870	0.593		CSEO
beta3_pH	11	3	39.688	40.782	30.057	42.884	1.787	3.252	-0.336		CSEO
beta3_pH	11	4	38.821	40.002	29.618	42.692	1.243	3.470	-0.340		CSEO
beta4_pH	11	1	0.465	0.453	0.424	0.527	4.223	0.032	0.380		CSEO
beta0_pelagic	11		-0.071	-0.067	-0.438	0.234	1.254	0.142	-0.028		CSEO
beta1_pelagic	11		1.138	1.144	0.801	1.494	1.818	0.189	-0.032		CSEO
beta2_pelagic	11		1.683	1.023	0.292	5.971	1.359	1.589	0.415		CSEO
beta3_pelagic	11		30.525	30.521	27.878	33.633	1.114	1.507	0.003		CSEO
beta0_yellow	11		0.032	0.041	-0.225	0.221	1.158	0.110	-0.082		CSEO
beta1_yellow	11		1.987	1.956	1.488	2.789	1.169	0.305	0.102		CSEO
beta2_yellow	11		-3.378	-1.954	-15.484	-0.468	1.225	3.946	-0.361		CSEO
beta0_pH	12	1	0.509	0.544	-0.060	0.987	1.397	0.274	-0.128		EWYKT
beta0_pH	12	3	1.592	1.161	-1.187	3.888	3.638	1.609	0.268		EWYKT
beta1_pH	12	1	2.990	2.961	2.283	3.752	1.388	0.377	0.077		EWYKT
beta1_pH	12	3	2.346	2.887	0.000	5.322	4.078	1.765	-0.307		EWYKT
beta2_pH	12	1	1.514	1.141	0.532	3.736	1.767	0.913	0.409		EWYKT
beta3_pH	12	3	40.229	42.049	30.265	42.853	2.124	3.454	-0.527		EWYKT
beta3_pH	12	4	40.784	40.884	38.846	42.502	1.134	1.190	-0.084		EWYKT
beta0_pH	13	1	-1.686	-1.601	-2.822	-0.907	1.771	0.498	-0.171		NSEI
beta0_pH	13	3	1.379	1.157	-0.421	2.818	3.598	1.040	0.213		NSEI
beta0_pH	13	4	1.046	1.303	-0.435	1.826	2.507	0.711	-0.361		NSEI
beta1_pH	13	1	4.498	4.413	3.585	5.741	1.778	0.562	0.151		NSEI
beta1_pH	13	3	1.582	1.898	0.022	3.487	3.919	1.166	-0.271		NSEI
beta1_pH	13	4	0.815	0.563	0.000	2.428	2.563	0.777	0.324		NSEI
beta2_pH	13	1	0.996	0.787	0.482	2.915	1.641	0.604	0.346		NSEI
beta3_pH	13	1	30.666	30.632	29.584	31.971	1.378	0.613	0.055		NSEI
beta3_pH	13	3	40.163	41.205	30.703	42.860	1.886	2.999	-0.347		NSEI
beta3_pH	13	4	39.806	41.189	30.018	42.909	1.321	3.528	-0.392		NSEI
beta0_pelagic	13		-0.053	-0.015	-0.626	0.374	1.724	0.274	-0.139		NSEI
beta1_pelagic	13		1.970	1.967	0.696	3.356	1.462	0.733	0.004		NSEI
beta2_pelagic	13		0.524	0.241	0.104	3.297	1.288	0.895	0.316		NSEI
beta3_pelagic	13		36.777	36.757	30.204	40.871	1.194	2.892	0.007		NSEI
beta0_yellow	13		-1.278	-1.228	-2.065	-0.958	1.114	0.246	-0.203		NSEI
beta2_yellow	13		-0.997	-0.522	-6.469	-0.195	1.124	1.945	-0.244		NSEI
beta0_pH	14	1	-1.750	-1.500	-4.010	-0.729	1.523	0.853	-0.293		NSEO
beta0_pH	14	3	-0.169	-0.033	-2.270	1.092	1.170	0.853	-0.159		NSEO
beta0_pH	14	4	0.078	0.126	-2.204	1.859	1.269	0.985	-0.049		NSEO
beta1_pH	14	1	4.552	4.313	3.494	7.169	1.508	0.884	0.270		NSEO
beta1_pH	14	3	2.929	2.821	1.564	5.015	1.148	0.873	0.124		NSEO
beta1_pH	14	4	2.197	2.189	0.060	4.627	1.269	1.073	0.007		NSEO
beta2_pH	14	1	1.151	0.857	0.399	3.513	1.543	0.789	0.373		NSEO
beta3_pH	14	1	31.129	31.167	29.596	32.295	1.354	0.642	-0.059		NSEO
beta3_pH	14	4	40.348	40.688	35.203	41.909	1.247	1.635	-0.208		NSEO
beta0_pH	15	1	-0.673	-0.659	-1.573	0.142	1.197	0.468	-0.030		SSEI
beta0_pH	15	4	1.010	1.409	-0.962	1.782	3.573	0.817	-0.488		SSEI
beta1_pH	15	1	3.157	3.194	2.220	4.170	1.204	0.547	-0.068		SSEI
beta1_pH	15	4	0.861	0.463	0.000	3.037	3.430	0.917	0.434		SSEI
beta2_pH	15	1	0.847	0.658	0.319	3.225	1.458	0.644	0.294		SSEI
beta3_pH	15	1	30.142	29.975	29.040	31.947	1.165	0.821	0.203		SSEI
beta3_pH	15	4	39.374	40.855	30.296	42.732	1.376	3.367	-0.440		SSEI
beta1_pelagic	15		0.138	0.046	0.011	0.748	1.168	0.204	0.451		SSEI
beta2_yellow	15		-4.732	-1.762	-19.247	-0.282	1.360	5.491	-0.541		SSEI
beta0_pH	16	1	-1.694	-1.582	-2.862	-0.864	1.342	0.569	-0.197		SSEO
beta0_pH	16	3	1.951	1.387	-0.475	4.327	4.573	1.615	0.349		SSEO
beta0_pH	16	4	1.380	1.303	-0.295	2.855	3.142	0.970	0.079		SSEO
beta1_pH	16	1	4.768	4.648	3.810	6.112	1.370	0.655	0.183		SSEO
beta1_pH	16	3	2.430	3.083	0.000	5.129	4.849	1.820	-0.359		SSEO
beta1_pH	16	4	1.610	1.738	0.001	3.514	3.151	1.102	-0.116		SSEO
beta3_pH	16	3	40.115	41.892	30.018	42.790	2.354	3.641	-0.488		SSEO
beta3_pH	16	4	40.213	41.506	30.158	42.750	1.864	3.326	-0.389		SSEO
beta4_pH	16	5	10.163	8.631	4.001	26.020	1.170	6.936	0.221		SSEO
beta0_pelagic	16		-0.243	-0.168	-1.282	0.144	1.508	0.335	-0.224		SSEO
beta1_pelagic	16		1.465	1.324	0.649	2.974	1.573	0.619	0.228		SSEO
beta2_pelagic	16		0.890	0.406	0.119	4.638	1.308	1.176	0.412		SSEO
beta3_pelagic	16		32.921	32.476	28.672	38.875	1.314	2.586	0.172		SSEO
beta3_yellow	16		33.183	32.371	28.305	41.481	1.139	3.404	0.239		SSEO
mu_beta0_pH	2	1	-1.079	-0.808	-4.131	0.330	1.211	1.084	-0.250		NG
tau_beta0_pH	2	1	1.018	0.652	0.062	4.084	1.259	1.098	0.333		NG
mu_beta1_pH	2	1	3.744	3.160	1.693	9.663	1.147	2.172	0.269		NG
mu_beta1_pH	2	3	0.004	0.000	0.000	0.047	1.575	0.011	0.352		NG
tau_beta1_pH	2	3	1.016	0.109	0.041	6.768	1.183	5.261	0.172		NG
mu_beta2_pH	2	1	1.072	0.655	-0.183	4.653	1.441	1.196	0.349		NG
mu_beta2_pH	2	3	2.683	3.185	-17.309	21.333	1.160	10.082	-0.050		NG
tau_beta2_pH	2	1	9.779	2.004	0.054	69.487	1.176	17.839	0.436		NG
beta0_pH	2	1	0.604	0.611	0.050	1.093	1.542	0.260	-0.027		NG
beta1_pH	2	1	3.313	3.175	2.017	5.263	1.918	0.817	0.169		NG
beta2_pH	2	1	0.255	0.209	0.098	0.645	1.951	0.146	0.315		NG
beta3_pH	2	1	33.116	32.404	28.299	42.134	1.895	3.303	0.216		NG
beta4_pH	2	5	0.904	0.597	0.105	2.947	1.199	2.703	0.114		NG
beta3_yellow	2		28.875	28.685	27.293	32.121	1.111	1.124	0.169		NG
mu_beta0_pH	3	3	1.077	0.910	-0.661	3.459	1.951	1.073	0.156		PWSI
mu_beta0_pH	3	4	0.982	1.047	-0.674	2.380	1.538	0.768	-0.085		PWSI
tau_beta0_pH	3	1	0.959	0.617	0.081	3.871	1.346	1.104	0.310		PWSI
tau_beta0_pH	3	3	4.399	1.054	0.061	33.953	1.171	10.416	0.321		PWSI
tau_beta0_pH	3	4	6.038	1.705	0.105	46.700	1.164	12.194	0.355		PWSI
mu_beta1_pH	3	1	3.745	3.729	1.954	5.596	1.162	0.985	0.016		PWSI
mu_beta1_pH	3	3	1.914	2.303	0.006	4.126	3.922	1.361	-0.286		PWSI
mu_beta1_pH	3	4	1.220	1.058	0.008	3.235	1.910	1.024	0.158		PWSI
tau_beta1_pH	3	1	15.459	8.398	0.654	71.303	1.489	18.104	0.390		PWSI
tau_beta1_pH	3	3	12.772	5.456	0.045	73.256	1.362	18.758	0.390		PWSI
tau_beta1_pH	3	4	7.149	0.639	0.046	57.477	1.753	14.720	0.442		PWSI
mu_beta2_pH	3	1	1.767	0.843	-0.088	9.092	1.480	2.395	0.386		PWSI
tau_beta2_pH	3	1	12.214	2.990	0.043	71.900	1.303	19.577	0.471		PWSI
beta0_pH	3	1	0.741	0.722	-0.125	1.558	1.551	0.460	0.041		PWSI
beta1_pH	3	1	3.167	3.025	1.558	5.456	2.503	0.963	0.147		PWSI
beta2_pH	3	1	0.277	0.207	0.076	0.928	1.348	0.250	0.280		PWSI
beta3_pH	3	1	33.339	33.054	27.377	40.580	1.306	3.134	0.091		PWSI
beta3_pelagic	3		27.693	28.377	22.711	31.752	1.141	2.890	-0.237		PWSI
beta0_pH	4	1	0.639	0.630	-0.371	1.536	2.299	0.545	0.017		PWSO
beta1_pH	4	1	3.322	3.175	1.878	4.895	1.377	0.864	0.170		PWSO
beta2_pH	4	1	0.323	0.240	0.122	1.080	1.178	0.275	0.302		PWSO
beta3_pH	4	1	31.045	31.003	26.654	36.106	1.788	2.450	0.017		PWSO
beta0_pelagic	4		0.268	0.263	-0.033	0.650	1.146	0.164	0.031		PWSO
beta1_pelagic	4		0.773	0.784	0.388	1.109	1.120	0.182	-0.060		PWSO
beta3_pelagic	4		26.195	26.301	23.324	29.654	1.113	1.445	-0.073		PWSO
beta0_yellow	4		0.870	0.965	-0.044	1.197	1.376	0.308	-0.309		PWSO
beta1_yellow	4		1.372	1.175	0.618	3.526	1.158	0.697	0.283		PWSO
beta0_pH	5	1	-1.694	-1.366	-5.951	-0.268	1.417	1.406	-0.233		BSAI
beta1_pH	5	1	3.463	3.151	1.949	7.739	1.410	1.435	0.217		BSAI
beta2_pH	5	1	1.991	1.386	0.292	7.200	1.266	1.886	0.321		BSAI
beta3_pH	5	1	27.104	27.260	24.501	28.769	1.121	1.072	-0.146		BSAI
beta4_pH	5	5	0.888	0.612	0.125	2.865	1.256	2.581	0.107		BSAI
beta1_pH	6	1	3.261	3.038	1.353	6.844	1.571	1.382	0.161		SOKO2SAP
beta2_pH	6	1	0.702	0.235	0.068	4.669	1.453	1.305	0.358		SOKO2SAP
beta3_pH	6	1	35.875	35.412	27.996	42.579	1.541	3.940	0.118		SOKO2SAP
beta4_pH	6	4	1.110	0.753	0.198	3.298	1.276	5.670	0.063		SOKO2SAP
beta0_pH	8	1	-1.382	-1.273	-2.739	-0.605	1.507	0.516	-0.211		afognak
beta0_pH	8	3	0.327	0.392	-0.333	0.694	1.683	0.272	-0.239		afognak
beta1_pH	8	1	2.686	2.563	1.673	4.206	1.870	0.680	0.181		afognak
beta1_pH	8	3	0.787	0.000	0.000	4.625	2.249	1.520	0.518		afognak
beta2_pH	8	1	1.110	0.422	0.176	6.344	1.310	1.691	0.407		afognak
beta2_pH	8	3	2.632	3.434	-18.006	19.230	1.167	9.935	-0.081		afognak
beta3_pH	8	1	32.515	32.106	29.650	36.541	1.108	1.861	0.220		afognak
beta3_pH	8	3	36.789	37.671	28.499	42.487	1.255	4.587	-0.192		afognak
beta_H	8	1	1.156	1.265	-2.372	3.331	1.159	2.428	-0.045		afognak
beta0_H	8		6.494	6.702	-15.232	27.595	1.212	21.521	-0.010		afognak
beta0_pH	9	1	-1.139	-0.987	-2.394	-0.173	1.297	0.636	-0.239		eastside
beta1_pH	9	1	2.919	2.820	1.648	4.533	1.836	0.729	0.136		eastside
beta1_pH	9	3	0.000	0.000	0.000	0.003	1.505	0.001	0.000		eastside
beta2_pH	9	1	0.648	0.349	0.140	3.283	1.459	0.929	0.322		eastside
beta2_pH	9	3	2.391	3.141	-18.254	19.315	1.142	10.063	-0.075		eastside
beta4_pH	9	3	0.993	0.695	0.176	3.444	1.133	1.794	0.166		eastside
tau_beta5_black_kod			0.353	0.188	0.044	1.497	1.235	1.095	0.151
pG	13	30	0.569	0.568	0.449	0.695	1.124	0.064	0.016		NSEI
pG	13	33	0.578	0.574	0.462	0.712	1.134	0.064	0.062		NSEI
pG	2	24	0.443	0.439	0.343	0.570	1.140	0.058	0.069		NG
pG	2	34	0.539	0.535	0.441	0.662	1.102	0.057	0.071		NG
lambda_H	5		1.777	0.286	0.008	14.484	1.200	5.384	0.277		BSAI
b2_pG	6		14.549	12.525	5.553	37.124	1.102	7.749	0.261		SOKO2SAP

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.01	1,430.00	366.00	1,963.00	410.00
Prop. of total	0.80	0.20	0.83	0.17
Prop. median less than 1	0.13	0.14	0.16	0.34
Prop. median less than 10	0.19	0.36	0.27	0.59
Prop. median less than 50	0.26	0.53	0.36	0.69
Median of the median values	709.37	28.35	184.56	4.12
Mean of the median values	2,268.89	553.85	963.34	242.26
Mean skew of posteriors	0.18	0.25	0.21	0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic	non.BSAI.SOKO.Harv	BSAI.SOKO.Harv	non.BSAI.SOKO.Rel	BSAI.SOKO.Rel
n unconverged at Rhat = 1.1	17.00	26.00	178.00	40.00
Prop. of total	0.40	0.60	0.82	0.18
Prop. median less than 1	0.41	0.46	0.15	0.65
Prop. median less than 10	0.41	0.62	0.20	0.78
Prop. median less than 50	0.41	0.85	0.21	0.95
Median of the median values	289.52	1.16	454.07	0.27
Mean of the median values	2,171.17	392.10	1,077.60	89.45
Mean skew of posteriors	0.19	0.19	0.13	0.17

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable	Freq
beta_H	1
beta0_H	1
beta0_pelagic	4
beta0_pH	27
beta0_yellow	3
beta1_pelagic	5
beta1_pH	28
beta1_yellow	2
beta2_pelagic	3
beta2_pH	17
beta2_yellow	3
beta3_pelagic	5
beta3_pH	21
beta3_yellow	2
beta4_pH	7
Bp_ay	1
Bp_ayu	1
H_ay	18
H_ayg	2
H_ayu	19
Hb_ay	6
Hb_ayg	3
Hb_ayu	6
Hd_ay	1
Hd_ayg	1
Hd_ayu	1
Ho_ay	2
Ho_ayg	4
Ho_ayu	7
Hp_ay	6
Hp_ayg	2
Hp_ayu	7
Hs_ay	1
Hs_ayg	1
Hs_ayu	3
Htrend_ay	11
Hy_ay	3
Hy_ayg	3
Hy_ayu	5
lambda_H	1
mu_beta0_pH	4
mu_beta1_pH	6
mu_beta2_pH	3
mu_wt	1
p_black	1
p_dsr	1
p_pelagic	2
p_slope	2
pG	3
pH	299
R_ay	55
R_ayg	42
R_ayu	11
Rb_ay	39
Rb_ayg	30
Rb_ayu	35
Rd_ay	4
Rd_ayg	1
Rd_ayu	2
re_black	1
re_dsr	1
re_pelagic	96
re_pH	337
re_slope	1
re_yellow	16
Ro_ay	6
Ro_ayg	3
Ro_ayu	13
Rp_ay	57
Rp_ayg	46
Rp_ayu	36
Rs_ay	3
Rs_ayg	9
Rs_ayu	15
Ry_ay	16
Ry_ayg	9
Ry_ayu	24
sd_pH	3
sd2_wt	1
tau_beta0_pH	5
tau_beta1_pH	5
tau_beta2_pH	2
tau_beta5_black_kod	1
tau_pH	3

Parameter estimates:

Summary Table of Parameter Estimates

Parameter	mean	sd	Lower_CI	Median	Upper_CI
mu_bc_H[1]	-0.140	0.068	-0.262	-0.146	0.001
mu_bc_H[2]	-0.115	0.035	-0.179	-0.117	-0.039
mu_bc_H[3]	-0.395	0.073	-0.540	-0.395	-0.252
mu_bc_H[4]	-1.152	0.225	-1.624	-1.143	-0.746
mu_bc_H[5]	1.157	1.167	-0.137	0.876	4.214
mu_bc_H[6]	-2.290	0.339	-2.931	-2.303	-1.592
mu_bc_H[7]	-0.467	0.104	-0.678	-0.463	-0.268
mu_bc_H[8]	0.126	0.324	-0.435	0.107	0.811
mu_bc_H[9]	-0.399	0.136	-0.675	-0.397	-0.135
mu_bc_H[10]	-0.121	0.064	-0.244	-0.124	0.016
mu_bc_H[11]	-0.117	0.038	-0.192	-0.116	-0.042
mu_bc_H[12]	-0.248	0.114	-0.493	-0.241	-0.048
mu_bc_H[13]	-0.172	0.073	-0.312	-0.173	-0.022
mu_bc_H[14]	-0.359	0.103	-0.573	-0.354	-0.172
mu_bc_H[15]	-0.340	0.046	-0.426	-0.342	-0.244
mu_bc_H[16]	-0.238	0.366	-0.891	-0.260	0.573
mu_bc_R[1]	1.635	0.184	1.269	1.638	1.998
mu_bc_R[2]	1.610	0.092	1.430	1.610	1.783
mu_bc_R[3]	1.366	0.148	1.074	1.368	1.657
mu_bc_R[4]	1.095	0.185	0.723	1.094	1.448
mu_bc_R[5]	1.412	0.802	-0.250	1.436	2.953
mu_bc_R[6]	-2.030	0.721	-3.517	-2.027	-0.639
mu_bc_R[7]	0.298	0.200	-0.103	0.298	0.685
mu_bc_R[8]	0.521	0.229	0.062	0.520	0.961
mu_bc_R[9]	0.629	0.265	0.073	0.639	1.128
mu_bc_R[10]	1.569	0.163	1.244	1.571	1.892
mu_bc_R[11]	0.983	0.131	0.722	0.979	1.246
mu_bc_R[12]	0.960	0.276	0.444	0.949	1.535
mu_bc_R[13]	1.136	0.164	0.817	1.132	1.467
mu_bc_R[14]	1.185	0.221	0.728	1.186	1.619
mu_bc_R[15]	0.692	0.178	0.339	0.693	1.055
mu_bc_R[16]	1.120	0.160	0.807	1.123	1.431
tau_pH[1]	2.281	0.362	1.642	2.359	2.876
tau_pH[2]	0.769	0.091	0.609	0.764	0.961
tau_pH[3]	0.978	0.132	0.741	0.974	1.248
tau_pH[4]	0.732	0.115	0.538	0.723	0.979
tau_pH[5]	0.531	0.103	0.350	0.524	0.748
beta0_pH[1,1]	-0.724	1.526	-3.912	0.142	0.666
beta0_pH[2,1]	0.604	0.260	0.050	0.611	1.093
beta0_pH[3,1]	0.741	0.460	-0.125	0.722	1.558
beta0_pH[4,1]	0.639	0.545	-0.371	0.630	1.536
beta0_pH[5,1]	-1.694	1.406	-5.951	-1.366	-0.268
beta0_pH[6,1]	-0.792	0.612	-2.242	-0.668	0.115
beta0_pH[7,1]	0.730	0.024	0.671	0.733	0.768
beta0_pH[8,1]	-1.382	0.516	-2.739	-1.273	-0.605
beta0_pH[9,1]	-1.139	0.636	-2.394	-0.987	-0.173
beta0_pH[10,1]	-0.473	0.406	-1.258	-0.487	0.175
beta0_pH[11,1]	-0.176	0.753	-1.433	-0.122	1.195
beta0_pH[12,1]	0.509	0.274	-0.060	0.544	0.987
beta0_pH[13,1]	-1.686	0.498	-2.822	-1.601	-0.907
beta0_pH[14,1]	-1.750	0.853	-4.010	-1.500	-0.729
beta0_pH[15,1]	-0.673	0.468	-1.573	-0.659	0.142
beta0_pH[16,1]	-1.694	0.569	-2.862	-1.582	-0.864
beta0_pH[1,2]	2.614	0.091	2.437	2.611	2.799
beta0_pH[2,2]	3.082	0.022	3.038	3.081	3.126
beta0_pH[3,2]	3.562	0.040	3.484	3.561	3.641
beta0_pH[4,2]	2.935	0.019	2.900	2.935	2.974
beta0_pH[5,2]	4.088	1.417	2.087	3.848	7.642
beta0_pH[6,2]	3.346	0.171	3.031	3.340	3.691
beta0_pH[7,2]	2.037	0.050	1.942	2.037	2.139
beta0_pH[8,2]	2.775	0.065	2.648	2.774	2.905
beta0_pH[9,2]	3.867	0.240	3.442	3.851	4.392
beta0_pH[10,2]	4.047	0.143	3.780	4.043	4.352
beta0_pH[11,2]	1.885	0.009	1.867	1.885	1.903
beta0_pH[12,2]	1.797	0.086	1.617	1.799	1.958
beta0_pH[13,2]	2.496	0.026	2.447	2.495	2.549
beta0_pH[14,2]	1.782	0.036	1.700	1.785	1.845
beta0_pH[15,2]	2.545	0.017	2.513	2.545	2.578
beta0_pH[16,2]	2.750	0.025	2.702	2.750	2.797
beta0_pH[1,3]	0.924	0.634	-0.880	1.100	1.699
beta0_pH[2,3]	2.127	0.018	2.092	2.127	2.163
beta0_pH[3,3]	2.691	0.024	2.646	2.691	2.738
beta0_pH[4,3]	2.980	0.033	2.917	2.980	3.044
beta0_pH[5,3]	0.690	0.700	-0.638	0.710	1.956
beta0_pH[6,3]	0.953	0.386	0.215	0.964	1.707
beta0_pH[7,3]	0.811	0.078	0.638	0.820	0.941
beta0_pH[8,3]	0.327	0.272	-0.333	0.392	0.694
beta0_pH[9,3]	1.315	0.141	1.042	1.313	1.593
beta0_pH[10,3]	2.070	0.116	1.776	2.084	2.259
beta0_pH[11,3]	1.401	1.079	-0.640	1.260	2.897
beta0_pH[12,3]	1.592	1.609	-1.187	1.161	3.888
beta0_pH[13,3]	1.379	1.040	-0.421	1.157	2.818
beta0_pH[14,3]	-0.169	0.853	-2.270	-0.033	1.092
beta0_pH[15,3]	0.313	0.666	-0.926	0.328	1.665
beta0_pH[16,3]	1.951	1.615	-0.475	1.387	4.327
beta0_pH[11,4]	1.432	0.767	-0.265	1.460	2.421
beta0_pH[12,4]	0.911	0.872	-1.061	1.003	2.486
beta0_pH[13,4]	1.046	0.711	-0.435	1.303	1.826
beta0_pH[14,4]	0.078	0.985	-2.204	0.126	1.859
beta0_pH[15,4]	1.010	0.817	-0.962	1.409	1.782
beta0_pH[16,4]	1.380	0.970	-0.295	1.303	2.855
beta0_pH[11,5]	2.924	0.141	2.663	2.921	3.219
beta0_pH[12,5]	-0.350	1.766	-5.144	-0.042	2.188
beta0_pH[13,5]	5.158	0.450	4.343	5.135	6.088
beta0_pH[14,5]	3.621	0.336	3.012	3.606	4.308
beta0_pH[15,5]	2.365	0.129	2.122	2.362	2.632
beta0_pH[16,5]	0.503	0.200	0.170	0.489	0.937
beta1_pH[1,1]	5.332	3.047	2.227	3.760	11.197
beta1_pH[2,1]	3.313	0.817	2.017	3.175	5.263
beta1_pH[3,1]	3.167	0.963	1.558	3.025	5.456
beta1_pH[4,1]	3.322	0.864	1.878	3.175	4.895
beta1_pH[5,1]	3.463	1.435	1.949	3.151	7.739
beta1_pH[6,1]	3.261	1.382	1.353	3.038	6.844
beta1_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,1]	2.686	0.680	1.673	2.563	4.206
beta1_pH[9,1]	2.919	0.729	1.648	2.820	4.533
beta1_pH[10,1]	2.948	0.518	2.026	2.995	3.872
beta1_pH[11,1]	3.111	1.364	0.829	3.321	5.201
beta1_pH[12,1]	2.990	0.377	2.283	2.961	3.752
beta1_pH[13,1]	4.498	0.562	3.585	4.413	5.741
beta1_pH[14,1]	4.552	0.884	3.494	4.313	7.169
beta1_pH[15,1]	3.157	0.547	2.220	3.194	4.170
beta1_pH[16,1]	4.768	0.655	3.810	4.648	6.112
beta1_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta1_pH[1,3]	1.978	1.605	0.028	1.653	7.201
beta1_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta1_pH[8,3]	0.787	1.520	0.000	0.000	4.625
beta1_pH[9,3]	0.000	0.001	0.000	0.000	0.003
beta1_pH[10,3]	0.047	0.122	0.000	0.000	0.430
beta1_pH[11,3]	1.799	1.264	0.000	2.038	4.015
beta1_pH[12,3]	2.346	1.765	0.000	2.887	5.322
beta1_pH[13,3]	1.582	1.166	0.022	1.898	3.487
beta1_pH[14,3]	2.929	0.873	1.564	2.821	5.015
beta1_pH[15,3]	2.469	0.700	0.995	2.481	3.783
beta1_pH[16,3]	2.430	1.820	0.000	3.083	5.129
beta1_pH[11,4]	1.381	0.967	0.002	1.382	3.363
beta1_pH[12,4]	2.543	0.959	0.683	2.477	4.718
beta1_pH[13,4]	0.815	0.777	0.000	0.563	2.428
beta1_pH[14,4]	2.197	1.073	0.060	2.189	4.627
beta1_pH[15,4]	0.861	0.917	0.000	0.463	3.037
beta1_pH[16,4]	1.610	1.102	0.001	1.738	3.514
beta1_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta1_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,1]	0.380	0.339	0.066	0.284	1.239
beta2_pH[2,1]	0.255	0.146	0.098	0.209	0.645
beta2_pH[3,1]	0.277	0.250	0.076	0.207	0.928
beta2_pH[4,1]	0.323	0.275	0.122	0.240	1.080
beta2_pH[5,1]	1.991	1.886	0.292	1.386	7.200
beta2_pH[6,1]	0.702	1.305	0.068	0.235	4.669
beta2_pH[7,1]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,1]	1.110	1.691	0.176	0.422	6.344
beta2_pH[9,1]	0.648	0.929	0.140	0.349	3.283
beta2_pH[10,1]	0.961	1.372	0.269	0.569	6.103
beta2_pH[11,1]	-0.646	1.784	-5.074	0.272	0.897
beta2_pH[12,1]	1.514	0.913	0.532	1.141	3.736
beta2_pH[13,1]	0.996	0.604	0.482	0.787	2.915
beta2_pH[14,1]	1.151	0.789	0.399	0.857	3.513
beta2_pH[15,1]	0.847	0.644	0.319	0.658	3.225
beta2_pH[16,1]	0.950	0.242	0.600	0.911	1.559
beta2_pH[1,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[2,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[9,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[10,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[11,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,2]	0.000	0.000	0.000	0.000	0.000
beta2_pH[1,3]	6.553	6.725	-1.077	5.004	21.942
beta2_pH[2,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[3,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[4,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[5,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[6,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[7,3]	0.000	0.000	0.000	0.000	0.000
beta2_pH[8,3]	2.632	9.935	-18.006	3.434	19.230
beta2_pH[9,3]	2.391	10.063	-18.254	3.141	19.315
beta2_pH[10,3]	2.477	9.937	-17.969	3.261	19.288
beta2_pH[11,3]	-6.426	5.122	-20.004	-5.037	-0.485
beta2_pH[12,3]	-7.085	4.866	-20.180	-6.010	-0.968
beta2_pH[13,3]	-6.599	5.095	-20.082	-5.144	-0.902
beta2_pH[14,3]	-6.732	4.895	-20.246	-5.262	-1.292
beta2_pH[15,3]	-6.824	4.895	-20.127	-5.444	-1.055
beta2_pH[16,3]	-6.798	4.797	-19.842	-5.476	-1.266
beta2_pH[11,4]	-7.049	5.675	-21.516	-5.612	-0.185
beta2_pH[12,4]	-7.321	5.444	-21.224	-5.924	-0.941
beta2_pH[13,4]	-7.420	5.482	-21.123	-6.219	-0.396
beta2_pH[14,4]	-7.438	5.395	-20.991	-5.988	-1.060
beta2_pH[15,4]	-7.164	5.485	-21.076	-5.740	-0.319
beta2_pH[16,4]	-7.795	5.308	-21.091	-6.999	-0.451
beta2_pH[11,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[12,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[13,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[14,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[15,5]	0.000	0.000	0.000	0.000	0.000
beta2_pH[16,5]	0.000	0.000	0.000	0.000	0.000
beta3_pH[1,1]	35.191	1.707	31.776	35.123	38.724
beta3_pH[2,1]	33.116	3.303	28.299	32.404	42.134
beta3_pH[3,1]	33.339	3.134	27.377	33.054	40.580
beta3_pH[4,1]	31.045	2.450	26.654	31.003	36.106
beta3_pH[5,1]	27.104	1.072	24.501	27.260	28.769
beta3_pH[6,1]	35.875	3.940	27.996	35.412	42.579
beta3_pH[7,1]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,1]	32.515	1.861	29.650	32.106	36.541
beta3_pH[9,1]	29.705	2.919	25.655	29.031	36.547
beta3_pH[10,1]	31.166	1.171	29.280	31.137	33.813
beta3_pH[11,1]	34.581	5.870	29.081	31.102	42.986
beta3_pH[12,1]	30.573	0.551	29.427	30.622	31.526
beta3_pH[13,1]	30.666	0.613	29.584	30.632	31.971
beta3_pH[14,1]	31.129	0.642	29.596	31.167	32.295
beta3_pH[15,1]	30.142	0.821	29.040	29.975	31.947
beta3_pH[16,1]	29.488	0.322	29.022	29.450	30.164
beta3_pH[1,2]	34.020	5.176	25.454	34.125	42.597
beta3_pH[2,2]	33.970	5.224	25.374	33.838	42.583
beta3_pH[3,2]	30.398	7.264	18.608	30.262	42.365
beta3_pH[4,2]	30.496	7.261	18.640	30.293	42.424
beta3_pH[5,2]	30.606	7.169	18.787	30.401	42.357
beta3_pH[6,2]	30.493	7.224	18.647	30.515	42.415
beta3_pH[7,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[9,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[10,2]	25.000	0.000	25.000	25.000	25.000
beta3_pH[11,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[12,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[13,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[14,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[15,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[16,2]	24.000	0.000	24.000	24.000	24.000
beta3_pH[1,3]	37.205	3.896	27.746	38.519	42.626
beta3_pH[2,3]	33.964	5.246	25.427	33.990	42.561
beta3_pH[3,3]	30.323	7.349	18.575	30.429	42.409
beta3_pH[4,3]	30.525	7.224	18.554	30.524	42.282
beta3_pH[5,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[6,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[7,3]	25.000	0.000	25.000	25.000	25.000
beta3_pH[8,3]	36.789	4.587	28.499	37.671	42.487
beta3_pH[9,3]	35.475	4.341	28.423	35.465	42.636
beta3_pH[10,3]	35.535	4.131	28.482	35.649	42.574
beta3_pH[11,3]	39.688	3.252	30.057	40.782	42.884
beta3_pH[12,3]	40.229	3.454	30.265	42.049	42.853
beta3_pH[13,3]	40.163	2.999	30.703	41.205	42.860
beta3_pH[14,3]	40.738	0.642	39.304	40.863	41.817
beta3_pH[15,3]	40.718	0.818	38.821	40.819	41.936
beta3_pH[16,3]	40.115	3.641	30.018	41.892	42.790
beta3_pH[11,4]	38.821	3.470	29.618	40.002	42.692
beta3_pH[12,4]	40.784	1.190	38.846	40.884	42.502
beta3_pH[13,4]	39.806	3.528	30.018	41.189	42.909
beta3_pH[14,4]	40.348	1.635	35.203	40.688	41.909
beta3_pH[15,4]	39.374	3.367	30.296	40.855	42.732
beta3_pH[16,4]	40.213	3.326	30.158	41.506	42.750
beta3_pH[11,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[12,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[13,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[14,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[15,5]	25.000	0.000	25.000	25.000	25.000
beta3_pH[16,5]	25.000	0.000	25.000	25.000	25.000
beta4_pH[1,1]	0.284	0.024	0.237	0.284	0.330
beta4_pH[2,1]	0.200	0.007	0.187	0.200	0.213
beta4_pH[3,1]	0.152	0.009	0.134	0.152	0.169
beta4_pH[4,1]	0.290	0.012	0.265	0.290	0.314
beta4_pH[5,1]	0.843	1.244	0.114	0.601	2.922
beta4_pH[6,1]	0.974	1.165	0.185	0.752	3.003
beta4_pH[7,1]	0.834	0.347	0.338	0.776	1.650
beta4_pH[8,1]	0.185	0.083	0.050	0.177	0.367
beta4_pH[9,1]	0.273	0.098	0.092	0.270	0.472
beta4_pH[10,1]	0.004	0.003	0.001	0.004	0.011
beta4_pH[11,1]	0.465	0.032	0.424	0.453	0.527
beta4_pH[12,1]	0.611	0.024	0.565	0.610	0.658
beta4_pH[13,1]	0.618	0.016	0.588	0.618	0.649
beta4_pH[14,1]	0.685	0.040	0.613	0.683	0.771
beta4_pH[15,1]	0.799	0.022	0.759	0.798	0.842
beta4_pH[16,1]	1.077	0.045	0.990	1.075	1.167
beta4_pH[1,2]	0.342	0.107	0.150	0.338	0.571
beta4_pH[2,2]	0.514	0.024	0.469	0.514	0.560
beta4_pH[3,2]	0.242	0.022	0.199	0.242	0.287
beta4_pH[4,2]	0.660	0.039	0.584	0.660	0.740
beta4_pH[5,2]	0.833	0.963	0.122	0.607	2.859
beta4_pH[6,2]	1.027	1.435	0.185	0.758	3.267
beta4_pH[7,2]	0.886	0.428	0.353	0.807	1.912
beta4_pH[8,2]	0.914	0.246	0.476	0.896	1.446
beta4_pH[9,2]	1.093	1.207	0.302	0.842	3.389
beta4_pH[10,2]	0.486	0.057	0.377	0.485	0.601
beta4_pH[11,2]	1.314	0.056	1.206	1.313	1.422
beta4_pH[12,2]	0.589	0.122	0.373	0.579	0.849
beta4_pH[13,2]	0.972	0.049	0.878	0.971	1.071
beta4_pH[14,2]	0.994	0.081	0.838	0.992	1.157
beta4_pH[15,2]	1.030	0.027	0.979	1.030	1.084
beta4_pH[16,2]	1.407	0.115	1.188	1.405	1.640
beta4_pH[1,3]	0.303	0.091	0.137	0.298	0.493
beta4_pH[2,3]	0.044	0.018	0.013	0.043	0.083
beta4_pH[3,3]	0.006	0.004	0.001	0.005	0.015
beta4_pH[4,3]	0.144	0.038	0.071	0.144	0.218
beta4_pH[5,3]	0.837	1.131	0.118	0.600	2.979
beta4_pH[6,3]	1.002	1.207	0.203	0.772	3.095
beta4_pH[7,3]	0.880	0.416	0.331	0.811	1.898
beta4_pH[8,3]	0.510	0.246	0.143	0.468	1.102
beta4_pH[9,3]	0.993	1.794	0.176	0.695	3.444
beta4_pH[10,3]	0.096	0.056	0.010	0.089	0.220
beta4_pH[11,3]	0.343	0.025	0.287	0.345	0.386
beta4_pH[12,3]	0.428	0.047	0.343	0.426	0.521
beta4_pH[13,3]	0.826	0.038	0.755	0.826	0.902
beta4_pH[14,3]	0.838	0.079	0.691	0.835	1.002
beta4_pH[15,3]	0.662	0.039	0.605	0.654	0.749
beta4_pH[16,3]	0.589	0.054	0.487	0.588	0.698
beta4_pH[1,4]	0.651	0.396	0.231	0.583	1.438
beta4_pH[2,4]	0.846	0.947	0.108	0.581	3.034
beta4_pH[3,4]	1.672	7.296	0.030	0.506	9.377
beta4_pH[4,4]	0.746	0.529	0.189	0.619	2.157
beta4_pH[5,4]	0.805	0.956	0.121	0.602	2.775
beta4_pH[6,4]	1.110	5.670	0.198	0.753	3.298
beta4_pH[7,4]	0.888	0.446	0.345	0.804	1.883
beta4_pH[8,4]	0.757	0.673	0.172	0.615	2.084
beta4_pH[9,4]	0.751	0.744	0.134	0.577	2.396
beta4_pH[10,4]	1.748	12.697	0.019	0.433	9.170
beta4_pH[11,4]	0.442	0.018	0.407	0.442	0.477
beta4_pH[12,4]	0.645	0.067	0.522	0.642	0.783
beta4_pH[13,4]	0.974	0.043	0.886	0.976	1.055
beta4_pH[14,4]	0.941	0.091	0.773	0.939	1.129
beta4_pH[15,4]	0.616	0.030	0.558	0.616	0.677
beta4_pH[16,4]	0.699	0.077	0.556	0.697	0.861
beta4_pH[1,5]	0.638	0.302	0.224	0.584	1.367
beta4_pH[2,5]	0.904	2.703	0.105	0.597	2.947
beta4_pH[3,5]	1.485	5.336	0.031	0.481	8.535
beta4_pH[4,5]	0.755	0.516	0.194	0.632	2.123
beta4_pH[5,5]	0.888	2.581	0.125	0.612	2.865
beta4_pH[6,5]	0.992	1.143	0.182	0.748	3.204
beta4_pH[7,5]	0.887	0.435	0.345	0.817	1.807
beta4_pH[8,5]	0.751	0.578	0.170	0.616	2.239
beta4_pH[9,5]	0.753	0.784	0.133	0.566	2.420
beta4_pH[10,5]	1.615	6.330	0.020	0.457	9.737
beta4_pH[11,5]	0.572	0.059	0.452	0.573	0.685
beta4_pH[12,5]	0.583	0.178	0.285	0.566	0.986
beta4_pH[13,5]	0.743	0.061	0.633	0.741	0.874
beta4_pH[14,5]	0.859	0.123	0.638	0.852	1.119
beta4_pH[15,5]	1.104	0.070	0.969	1.101	1.247
beta4_pH[16,5]	10.163	6.936	4.001	8.631	26.020
beta0_pelagic[1]	2.270	0.036	2.205	2.268	2.345
beta0_pelagic[2]	1.538	0.007	1.525	1.538	1.552
beta0_pelagic[3]	0.230	0.226	-0.303	0.275	0.589
beta0_pelagic[4]	0.268	0.164	-0.033	0.263	0.650
beta0_pelagic[5]	1.892	0.158	1.603	1.886	2.220
beta0_pelagic[6]	1.538	0.063	1.421	1.536	1.660
beta0_pelagic[7]	1.462	0.037	1.394	1.460	1.535
beta0_pelagic[8]	1.858	0.049	1.769	1.855	1.963
beta0_pelagic[9]	2.815	0.093	2.650	2.811	3.006
beta0_pelagic[10]	2.605	0.032	2.547	2.603	2.674
beta0_pelagic[11]	-0.071	0.142	-0.438	-0.067	0.234
beta0_pelagic[12]	1.797	0.035	1.732	1.796	1.870
beta0_pelagic[13]	-0.053	0.274	-0.626	-0.015	0.374
beta0_pelagic[14]	0.109	0.119	-0.136	0.111	0.328
beta0_pelagic[15]	-0.209	0.038	-0.308	-0.195	-0.169
beta0_pelagic[16]	-0.243	0.335	-1.282	-0.168	0.144
beta1_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[3]	0.693	0.220	0.286	0.684	1.170
beta1_pelagic[4]	0.773	0.182	0.388	0.784	1.109
beta1_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[11]	1.138	0.189	0.801	1.144	1.494
beta1_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta1_pelagic[13]	1.970	0.733	0.696	1.967	3.356
beta1_pelagic[14]	1.317	0.311	0.776	1.302	1.987
beta1_pelagic[15]	0.138	0.204	0.011	0.046	0.748
beta1_pelagic[16]	1.465	0.619	0.649	1.324	2.974
beta2_pelagic[1]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[2]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[3]	7.375	5.983	0.448	5.882	21.829
beta2_pelagic[4]	7.936	6.023	0.584	6.605	22.403
beta2_pelagic[5]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[6]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[7]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[8]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[9]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[10]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[11]	1.683	1.589	0.292	1.023	5.971
beta2_pelagic[12]	0.000	0.000	0.000	0.000	0.000
beta2_pelagic[13]	0.524	0.895	0.104	0.241	3.297
beta2_pelagic[14]	1.406	1.370	0.280	0.890	5.374
beta2_pelagic[15]	2.583	1.893	0.129	2.226	7.068
beta2_pelagic[16]	0.890	1.176	0.119	0.406	4.638
beta3_pelagic[1]	29.546	6.567	18.612	29.436	40.480
beta3_pelagic[2]	29.355	6.658	18.565	29.214	40.322
beta3_pelagic[3]	27.693	2.890	22.711	28.377	31.752
beta3_pelagic[4]	26.195	1.445	23.324	26.301	29.654
beta3_pelagic[5]	29.477	6.645	18.580	29.305	40.325
beta3_pelagic[6]	29.627	6.673	18.670	29.599	40.494
beta3_pelagic[7]	29.351	6.566	18.529	29.372	40.426
beta3_pelagic[8]	29.642	6.697	18.590	29.933	40.391
beta3_pelagic[9]	29.440	6.751	18.620	29.365	40.380
beta3_pelagic[10]	29.667	6.693	18.634	29.603	40.445
beta3_pelagic[11]	30.525	1.507	27.878	30.521	33.633
beta3_pelagic[12]	29.552	6.613	18.667	29.635	40.300
beta3_pelagic[13]	36.777	2.892	30.204	36.757	40.871
beta3_pelagic[14]	35.100	1.527	32.302	34.972	38.219
beta3_pelagic[15]	31.849	7.249	18.761	32.752	40.855
beta3_pelagic[16]	32.921	2.586	28.672	32.476	38.875
beta0_yellow[1]	-0.476	0.080	-0.639	-0.476	-0.320
beta0_yellow[2]	0.541	0.087	0.356	0.551	0.678
beta0_yellow[3]	-0.203	0.131	-0.473	-0.198	0.015
beta0_yellow[4]	0.870	0.308	-0.044	0.965	1.197
beta0_yellow[5]	-0.094	0.376	-0.862	-0.090	0.596
beta0_yellow[6]	0.755	0.127	0.512	0.758	0.992
beta0_yellow[7]	1.103	0.100	0.899	1.101	1.301
beta0_yellow[8]	0.943	0.110	0.714	0.945	1.155
beta0_yellow[9]	0.387	0.136	0.115	0.386	0.648
beta0_yellow[10]	0.557	0.074	0.417	0.555	0.703
beta0_yellow[11]	0.032	0.110	-0.225	0.041	0.221
beta0_yellow[12]	-1.176	0.172	-1.524	-1.149	-0.950
beta0_yellow[13]	-1.278	0.246	-2.065	-1.228	-0.958
beta0_yellow[14]	-0.257	0.128	-0.540	-0.245	-0.034
beta0_yellow[15]	-1.035	0.117	-1.287	-1.034	-0.801
beta0_yellow[16]	-0.318	0.090	-0.531	-0.297	-0.188
beta1_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[2]	1.016	0.255	0.596	1.000	1.510
beta1_yellow[3]	0.448	0.238	0.019	0.454	0.929
beta1_yellow[4]	1.372	0.697	0.618	1.175	3.526
beta1_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta1_yellow[11]	1.987	0.305	1.488	1.956	2.789
beta1_yellow[12]	0.243	0.451	0.011	0.087	1.385
beta1_yellow[13]	2.682	0.620	1.690	2.599	4.109
beta1_yellow[14]	2.769	0.617	1.822	2.669	4.199
beta1_yellow[15]	0.755	0.308	0.069	0.747	1.433
beta1_yellow[16]	0.189	0.183	0.011	0.121	0.631
beta2_yellow[1]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[2]	-7.884	5.918	-22.466	-6.515	-0.424
beta2_yellow[3]	-6.668	5.156	-19.751	-5.542	-0.347
beta2_yellow[4]	-5.649	5.791	-19.931	-3.867	-0.128
beta2_yellow[5]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[6]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[7]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[8]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[9]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[10]	0.000	0.000	0.000	0.000	0.000
beta2_yellow[11]	-3.378	3.946	-15.484	-1.954	-0.468
beta2_yellow[12]	-7.998	5.982	-22.237	-6.888	-0.253
beta2_yellow[13]	-0.997	1.945	-6.469	-0.522	-0.195
beta2_yellow[14]	-4.501	4.315	-14.852	-2.589	-0.486
beta2_yellow[15]	-4.732	5.491	-19.247	-1.762	-0.282
beta2_yellow[16]	-7.730	5.931	-22.417	-6.548	-0.297
beta3_yellow[1]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[2]	28.875	1.124	27.293	28.685	32.121
beta3_yellow[3]	32.465	3.549	22.795	32.676	39.708
beta3_yellow[4]	29.964	3.407	24.524	28.510	35.936
beta3_yellow[5]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[6]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[7]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[8]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[9]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[10]	25.000	0.000	25.000	25.000	25.000
beta3_yellow[11]	30.085	0.647	28.985	30.006	31.472
beta3_yellow[12]	35.156	4.145	28.444	34.886	42.538
beta3_yellow[13]	30.004	1.084	28.183	29.936	32.505
beta3_yellow[14]	29.261	0.472	28.286	29.197	30.200
beta3_yellow[15]	31.071	2.272	28.164	30.600	36.245
beta3_yellow[16]	33.183	3.404	28.305	32.371	41.481
beta0_black[1]	0.012	0.076	-0.135	0.010	0.162
beta0_black[2]	1.855	0.032	1.793	1.855	1.918
beta0_black[3]	1.238	0.037	1.165	1.237	1.311
beta0_black[4]	2.423	0.048	2.330	2.422	2.521
beta0_black[5]	5.178	2.393	1.795	4.754	11.051
beta0_black[6]	5.214	2.151	2.649	4.705	10.702
beta0_black[7]	4.110	2.126	1.650	3.555	9.999
beta0_black[8]	0.881	0.209	0.493	0.867	1.313
beta0_black[9]	2.803	0.269	2.272	2.802	3.335
beta0_black[10]	1.289	0.050	1.192	1.288	1.389
beta0_black[11]	2.978	0.052	2.876	2.978	3.084
beta0_black[12]	4.911	0.198	4.533	4.907	5.307
beta0_black[13]	0.435	0.335	0.015	0.363	1.232
beta0_black[14]	2.847	0.104	2.640	2.848	3.044
beta0_black[15]	0.723	0.051	0.620	0.723	0.823
beta0_black[16]	3.771	0.074	3.628	3.769	3.918
beta2_black[1]	0.000	0.000	0.000	0.000	0.000
beta2_black[2]	0.000	0.000	0.000	0.000	0.000
beta2_black[3]	0.000	0.000	0.000	0.000	0.000
beta2_black[4]	0.000	0.000	0.000	0.000	0.000
beta2_black[5]	0.000	0.000	0.000	0.000	0.000
beta2_black[6]	0.000	0.000	0.000	0.000	0.000
beta2_black[7]	0.000	0.000	0.000	0.000	0.000
beta2_black[8]	0.000	0.000	0.000	0.000	0.000
beta2_black[9]	0.000	0.000	0.000	0.000	0.000
beta2_black[10]	0.000	0.000	0.000	0.000	0.000
beta2_black[11]	0.000	0.000	0.000	0.000	0.000
beta2_black[12]	0.000	0.000	0.000	0.000	0.000
beta2_black[13]	-2.419	1.761	-6.791	-1.969	-0.273
beta2_black[14]	0.000	0.000	0.000	0.000	0.000
beta2_black[15]	0.000	0.000	0.000	0.000	0.000
beta2_black[16]	0.000	0.000	0.000	0.000	0.000
beta3_black[1]	25.000	0.000	25.000	25.000	25.000
beta3_black[2]	25.000	0.000	25.000	25.000	25.000
beta3_black[3]	25.000	0.000	25.000	25.000	25.000
beta3_black[4]	25.000	0.000	25.000	25.000	25.000
beta3_black[5]	25.000	0.000	25.000	25.000	25.000
beta3_black[6]	25.000	0.000	25.000	25.000	25.000
beta3_black[7]	25.000	0.000	25.000	25.000	25.000
beta3_black[8]	25.000	0.000	25.000	25.000	25.000
beta3_black[9]	25.000	0.000	25.000	25.000	25.000
beta3_black[10]	25.000	0.000	25.000	25.000	25.000
beta3_black[11]	25.000	0.000	25.000	25.000	25.000
beta3_black[12]	25.000	0.000	25.000	25.000	25.000
beta3_black[13]	37.441	3.413	27.495	38.211	41.337
beta3_black[14]	25.000	0.000	25.000	25.000	25.000
beta3_black[15]	25.000	0.000	25.000	25.000	25.000
beta3_black[16]	25.000	0.000	25.000	25.000	25.000
beta4_black[1]	-0.326	0.092	-0.514	-0.327	-0.156
beta4_black[2]	0.258	0.053	0.158	0.258	0.364
beta4_black[3]	-0.719	0.064	-0.841	-0.719	-0.594
beta4_black[4]	0.631	0.131	0.381	0.626	0.896
beta4_black[5]	0.784	1.508	-1.206	0.503	4.428
beta4_black[6]	0.926	1.562	-0.910	0.573	4.894
beta4_black[7]	0.807	1.378	-0.984	0.538	4.372
beta4_black[8]	0.088	0.280	-0.501	0.097	0.630
beta4_black[9]	1.062	0.841	-0.081	0.909	3.078
beta4_black[10]	0.072	0.067	-0.060	0.072	0.201
beta4_black[11]	-0.609	0.067	-0.740	-0.610	-0.481
beta4_black[12]	1.231	0.293	0.675	1.222	1.818
beta4_black[13]	-1.006	0.078	-1.171	-1.004	-0.860
beta4_black[14]	0.226	0.178	-0.126	0.221	0.587
beta4_black[15]	0.001	0.046	-0.091	0.001	0.091
beta4_black[16]	-0.414	0.121	-0.641	-0.417	-0.165
beta0_dsr[11]	-0.328	0.010	-0.348	-0.328	-0.310
beta0_dsr[12]	1.436	0.044	1.352	1.435	1.523
beta0_dsr[13]	0.173	0.021	0.133	0.173	0.215
beta0_dsr[14]	-0.100	0.017	-0.131	-0.100	-0.066
beta0_dsr[15]	0.208	0.014	0.181	0.208	0.235
beta0_dsr[16]	0.156	0.017	0.121	0.156	0.189
beta1_dsr[11]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[12]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[13]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[14]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[15]	0.000	0.000	0.000	0.000	0.000
beta1_dsr[16]	0.000	0.000	0.000	0.000	0.000
beta4_dsr[11]	0.540	0.036	0.470	0.541	0.608
beta4_dsr[12]	0.783	0.227	0.346	0.779	1.228
beta4_dsr[13]	-0.097	0.040	-0.178	-0.096	-0.021
beta4_dsr[14]	-0.236	0.072	-0.382	-0.236	-0.096
beta4_dsr[15]	0.213	0.022	0.171	0.213	0.254
beta4_dsr[16]	-0.049	0.046	-0.139	-0.049	0.042
beta0_slope[11]	-2.208	0.021	-2.251	-2.207	-2.166
beta0_slope[12]	-5.693	0.334	-6.388	-5.678	-5.102
beta0_slope[13]	-1.541	0.034	-1.608	-1.541	-1.474
beta0_slope[14]	-2.699	0.049	-2.802	-2.697	-2.608
beta0_slope[15]	-1.595	0.023	-1.640	-1.595	-1.551
beta0_slope[16]	-2.581	0.047	-2.674	-2.580	-2.489
beta1_slope[11]	0.000	0.000	0.000	0.000	0.000
beta1_slope[12]	0.000	0.000	0.000	0.000	0.000
beta1_slope[13]	0.000	0.000	0.000	0.000	0.000
beta1_slope[14]	0.000	0.000	0.000	0.000	0.000
beta1_slope[15]	0.000	0.000	0.000	0.000	0.000
beta1_slope[16]	0.000	0.000	0.000	0.000	0.000
beta4_slope[11]	-0.335	0.073	-0.484	-0.334	-0.198
beta4_slope[12]	-4.657	0.795	-6.339	-4.605	-3.239
beta4_slope[13]	0.364	0.054	0.256	0.363	0.469
beta4_slope[14]	-0.169	0.154	-0.476	-0.167	0.116
beta4_slope[15]	-0.358	0.033	-0.422	-0.358	-0.294
beta4_slope[16]	-0.212	0.103	-0.418	-0.211	-0.014
beta5_slope[11]	3.074	0.106	2.874	3.072	3.288
beta5_slope[12]	1.996	0.384	1.284	1.982	2.771
beta5_slope[13]	0.859	0.080	0.701	0.860	1.018
beta5_slope[14]	3.769	0.354	3.100	3.753	4.497
beta5_slope[15]	1.343	0.074	1.201	1.343	1.488
beta5_slope[16]	2.761	0.230	2.341	2.754	3.240
tau_comp[1]	3.723	0.303	3.174	3.714	4.336
tau_comp[2]	2.735	0.237	2.287	2.728	3.212
tau_comp[3]	0.873	0.075	0.735	0.870	1.033
tau_comp[4]	1.447	0.225	1.072	1.429	1.942
tau_comp[5]	1.260	0.193	0.919	1.248	1.680
sigma_H[1]	0.184	0.057	0.078	0.182	0.303
sigma_H[2]	0.172	0.030	0.121	0.170	0.235
sigma_H[3]	0.198	0.043	0.123	0.196	0.292
sigma_H[4]	0.397	0.080	0.258	0.387	0.572
sigma_H[5]	1.030	0.232	0.605	1.019	1.513
sigma_H[6]	0.256	0.192	0.006	0.227	0.701
sigma_H[7]	0.276	0.049	0.198	0.271	0.384
sigma_H[8]	0.379	0.071	0.271	0.369	0.533
sigma_H[9]	0.401	0.073	0.283	0.393	0.560
sigma_H[10]	0.224	0.043	0.149	0.219	0.320
sigma_H[11]	0.265	0.045	0.191	0.261	0.366
sigma_H[12]	0.399	0.155	0.200	0.359	0.738
sigma_H[13]	0.202	0.035	0.140	0.200	0.281
sigma_H[14]	0.461	0.094	0.299	0.452	0.660
sigma_H[15]	0.241	0.038	0.177	0.238	0.325
sigma_H[16]	0.221	0.042	0.153	0.216	0.314
lambda_H[1]	2.597	4.147	0.075	1.147	13.842
lambda_H[2]	8.563	8.571	0.851	6.143	28.806
lambda_H[3]	4.651	6.770	0.218	2.363	23.840
lambda_H[4]	0.008	0.006	0.001	0.006	0.023
lambda_H[5]	1.777	5.384	0.008	0.286	14.484
lambda_H[6]	9.803	16.554	0.023	3.095	53.901
lambda_H[7]	0.015	0.010	0.003	0.012	0.041
lambda_H[8]	7.715	9.747	0.177	4.316	38.318
lambda_H[9]	0.017	0.012	0.003	0.014	0.049
lambda_H[10]	0.316	0.545	0.029	0.186	1.412
lambda_H[11]	0.225	0.342	0.009	0.095	1.153
lambda_H[12]	4.370	5.544	0.207	2.541	17.999
lambda_H[13]	3.517	3.223	0.272	2.560	12.402
lambda_H[14]	3.211	3.767	0.251	2.081	13.768
lambda_H[15]	0.021	0.028	0.003	0.014	0.074
lambda_H[16]	0.730	1.242	0.030	0.321	3.836
mu_lambda_H[1]	4.215	1.888	1.098	4.040	8.286
mu_lambda_H[2]	3.861	1.924	0.620	3.760	7.923
mu_lambda_H[3]	3.462	1.843	0.743	3.151	7.787
sigma_lambda_H[1]	8.384	4.317	1.900	7.760	18.146
sigma_lambda_H[2]	8.439	4.691	0.979	7.974	18.169
sigma_lambda_H[3]	6.245	3.922	0.993	5.486	16.104
beta_H[1,1]	6.591	1.328	3.294	6.826	8.518
beta_H[2,1]	9.850	0.485	8.816	9.881	10.742
beta_H[3,1]	7.894	0.847	5.930	7.985	9.294
beta_H[4,1]	13.429	7.879	-0.834	13.209	30.387
beta_H[5,1]	-0.311	3.362	-7.059	-0.251	6.336
beta_H[6,1]	4.574	2.717	-2.532	5.230	7.820
beta_H[7,1]	2.649	5.248	-8.197	2.717	12.187
beta_H[8,1]	1.156	2.428	-2.372	1.265	3.331
beta_H[9,1]	14.764	5.772	4.212	14.450	27.390
beta_H[10,1]	7.106	1.737	3.500	7.147	10.610
beta_H[11,1]	4.596	3.652	-3.360	5.088	9.877
beta_H[12,1]	2.536	1.042	0.692	2.489	4.678
beta_H[13,1]	9.025	0.817	7.151	9.078	10.418
beta_H[14,1]	2.151	1.002	0.201	2.159	4.200
beta_H[15,1]	-6.914	3.554	-13.287	-7.031	0.614
beta_H[16,1]	3.902	3.043	-0.830	3.490	11.272
beta_H[1,2]	7.906	0.259	7.391	7.905	8.399
beta_H[2,2]	10.035	0.127	9.782	10.034	10.288
beta_H[3,2]	8.906	0.206	8.481	8.909	9.306
beta_H[4,2]	2.039	1.546	-1.067	2.080	4.930
beta_H[5,2]	1.772	1.169	-0.471	1.777	4.024
beta_H[6,2]	6.208	0.856	4.285	6.268	7.663
beta_H[7,2]	1.926	0.984	0.166	1.879	3.979
beta_H[8,2]	3.145	0.833	1.607	3.232	4.322
beta_H[9,2]	2.655	1.073	0.482	2.668	4.744
beta_H[10,2]	8.163	0.354	7.426	8.179	8.842
beta_H[11,2]	9.866	0.659	8.850	9.788	11.264
beta_H[12,2]	3.924	0.360	3.238	3.921	4.649
beta_H[13,2]	9.141	0.230	8.690	9.143	9.596
beta_H[14,2]	4.073	0.337	3.434	4.063	4.752
beta_H[15,2]	11.541	0.645	10.186	11.564	12.736
beta_H[16,2]	4.589	0.814	3.055	4.570	6.204
beta_H[1,3]	8.573	0.268	8.091	8.564	9.120
beta_H[2,3]	10.112	0.109	9.903	10.111	10.339
beta_H[3,3]	9.615	0.176	9.284	9.614	9.987
beta_H[4,3]	-0.602	1.194	-2.829	-0.672	1.939
beta_H[5,3]	4.217	0.778	2.649	4.198	5.819
beta_H[6,3]	7.536	0.817	6.290	7.411	9.637
beta_H[7,3]	-2.026	0.636	-3.277	-2.014	-0.829
beta_H[8,3]	5.372	0.405	4.823	5.334	6.135
beta_H[9,3]	-1.664	0.707	-3.020	-1.671	-0.243
beta_H[10,3]	8.784	0.280	8.253	8.782	9.355
beta_H[11,3]	8.462	0.293	7.827	8.484	8.978
beta_H[12,3]	5.349	0.309	4.630	5.381	5.886
beta_H[13,3]	8.949	0.174	8.617	8.947	9.306
beta_H[14,3]	5.862	0.277	5.254	5.883	6.346
beta_H[15,3]	10.275	0.304	9.692	10.270	10.907
beta_H[16,3]	6.123	0.772	4.466	6.213	7.402
beta_H[1,4]	8.263	0.182	7.873	8.279	8.593
beta_H[2,4]	10.186	0.110	9.955	10.194	10.386
beta_H[3,4]	10.096	0.176	9.729	10.107	10.406
beta_H[4,4]	11.599	0.452	10.736	11.591	12.499
beta_H[5,4]	6.191	1.023	4.609	6.055	8.533
beta_H[6,4]	7.586	0.596	6.066	7.711	8.454
beta_H[7,4]	8.399	0.317	7.782	8.403	9.002
beta_H[8,4]	6.913	0.203	6.538	6.915	7.293
beta_H[9,4]	7.635	0.375	6.929	7.627	8.388
beta_H[10,4]	7.829	0.251	7.373	7.818	8.378
beta_H[11,4]	9.500	0.194	9.122	9.500	9.880
beta_H[12,4]	7.229	0.200	6.831	7.229	7.631
beta_H[13,4]	9.084	0.136	8.801	9.092	9.334
beta_H[14,4]	7.929	0.211	7.515	7.927	8.352
beta_H[15,4]	9.509	0.225	9.086	9.507	9.946
beta_H[16,4]	9.449	0.272	8.975	9.427	9.998
beta_H[1,5]	9.070	0.154	8.754	9.073	9.371
beta_H[2,5]	10.842	0.091	10.670	10.838	11.026
beta_H[3,5]	10.937	0.177	10.615	10.930	11.295
beta_H[4,5]	8.520	0.437	7.683	8.513	9.387
beta_H[5,5]	4.895	0.919	2.664	5.078	6.255
beta_H[6,5]	8.657	0.416	8.012	8.582	9.674
beta_H[7,5]	6.609	0.309	6.018	6.605	7.242
beta_H[8,5]	8.337	0.179	8.018	8.330	8.701
beta_H[9,5]	8.063	0.378	7.320	8.063	8.792
beta_H[10,5]	10.142	0.247	9.645	10.145	10.621
beta_H[11,5]	11.588	0.230	11.121	11.589	12.033
beta_H[12,5]	8.555	0.193	8.171	8.560	8.924
beta_H[13,5]	10.092	0.124	9.847	10.089	10.337
beta_H[14,5]	9.283	0.206	8.892	9.279	9.694
beta_H[15,5]	11.254	0.235	10.767	11.253	11.716
beta_H[16,5]	9.859	0.190	9.449	9.870	10.207
beta_H[1,6]	10.235	0.242	9.856	10.199	10.815
beta_H[2,6]	11.528	0.108	11.316	11.530	11.744
beta_H[3,6]	10.724	0.160	10.395	10.731	11.018
beta_H[4,6]	12.914	0.773	11.388	12.924	14.414
beta_H[5,6]	5.959	0.940	4.585	5.823	8.427
beta_H[6,6]	8.730	0.388	7.881	8.750	9.470
beta_H[7,6]	10.468	0.534	9.405	10.474	11.492
beta_H[8,6]	9.568	0.229	9.141	9.576	9.983
beta_H[9,6]	8.485	0.642	7.273	8.482	9.780
beta_H[10,6]	9.421	0.344	8.675	9.455	10.001
beta_H[11,6]	10.671	0.380	9.866	10.690	11.343
beta_H[12,6]	9.364	0.240	8.892	9.356	9.877
beta_H[13,6]	11.093	0.155	10.817	11.086	11.415
beta_H[14,6]	9.917	0.270	9.378	9.916	10.448
beta_H[15,6]	10.670	0.435	9.801	10.669	11.536
beta_H[16,6]	10.667	0.246	10.161	10.670	11.145
beta_H[1,7]	10.210	1.321	6.734	10.545	11.952
beta_H[2,7]	12.133	0.431	11.203	12.154	12.950
beta_H[3,7]	10.264	0.742	8.645	10.339	11.552
beta_H[4,7]	1.710	4.028	-5.951	1.567	10.094
beta_H[5,7]	5.853	3.333	-2.073	6.001	11.625
beta_H[6,7]	8.484	1.636	4.210	8.870	10.641
beta_H[7,7]	7.868	2.666	2.603	7.879	13.160
beta_H[8,7]	10.869	0.802	9.422	10.862	12.338
beta_H[9,7]	4.264	3.276	-2.269	4.267	10.539
beta_H[10,7]	10.213	1.585	7.446	10.056	13.697
beta_H[11,7]	11.523	1.882	8.127	11.352	15.659
beta_H[12,7]	9.910	0.870	8.044	9.972	11.438
beta_H[13,7]	11.705	0.698	10.132	11.773	12.869
beta_H[14,7]	10.651	0.877	8.838	10.687	12.268
beta_H[15,7]	13.558	2.304	9.036	13.569	18.111
beta_H[16,7]	12.665	1.315	10.433	12.502	15.593
beta0_H[1]	8.398	17.672	-29.658	8.680	45.040
beta0_H[2]	10.842	6.228	-1.219	10.811	23.396
beta0_H[3]	9.724	12.018	-12.816	9.784	32.500
beta0_H[4]	6.433	175.719	-346.350	9.032	354.819
beta0_H[5]	4.777	49.227	-85.150	4.442	108.876
beta0_H[6]	7.509	26.381	-52.321	7.691	60.390
beta0_H[7]	2.874	124.711	-251.007	2.371	257.953
beta0_H[8]	6.494	21.521	-15.232	6.702	27.595
beta0_H[9]	8.884	116.334	-218.040	5.230	250.273
beta0_H[10]	9.174	34.428	-61.702	9.328	80.614
beta0_H[11]	9.197	53.643	-100.973	9.028	124.623
beta0_H[12]	6.157	11.124	-17.470	6.489	28.158
beta0_H[13]	9.898	10.524	-9.553	9.954	30.041
beta0_H[14]	7.347	10.814	-14.901	7.347	28.871
beta0_H[15]	6.233	117.053	-229.806	7.047	251.905
beta0_H[16]	8.297	30.029	-53.397	8.182	73.115